Question
Three taps A, B and C can fill a tank in 10, 18 and 6
hours, respectively. If B is open all the time and A and C are open for one hour each alternatively, starting with A, the task will be filled in.Solution
AÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â Â C Â Â Â Â Â Â Â Â Â Â Â 10Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â 6 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 90 Â Â Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 15 First day B+A=9+5=14 Second day B+C=5+15=20 fill tank in two days =14+20=34 similarly work done in four days =68 Now remaining work done by A+B- In fifth day, =68+14 =82 Now remaining work =90-82=8 Remaining work done by B+C=8/20=2/5 Total time =5+2/5=27/5
Determine the difference between the LCM and HCF of 18, 24, and 36.
The HCF of two numbers is 12 and their LCM is 420. If one number is 84, find the other number.
The least number which when divided by 9, 12, 15, 18, and 21 leaves the same remainder 7 in each case, is:
Find the HCF and LCM of 18 and 30.
Three numbers are in the ratio 2:3:4 and their HCF is 24. Find the numbers?
If the product of two numbers is 432 and their HCF is 12, what will be their LCM?
Find the HCF of 864, 1080 and 1512.
Find the least number which when divided separately by 15, 20, 35 and 45 leaves 3 as remainder in each case?
The HCF of two numbers is 9. Which of the following can never be their LCM?
The least number which when divided by 5, 8, 11, 14, and 17 leaves the same remainder 4 in each case, is:
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